The mean age of a random sample 25 people who were playing the slot machines is 48.7 years, and the population standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 years with a population standard deviation of 3.2 years. Can it be concluded at a=0.05 that the mean age of those playing the slot machines is less than those playing roulette? g) Find the value of our test value?sample mean one (playing slot machines): 81sample mean two (playing roulette): 82Difference of means: p, - Pz(Assume Ho true until we have evidence that goes against it.)Populationstandard deviation one (playing slot machines): 01Populationstandard deviation two (playing roulette): [02sample size one (playing slot machines): nsample size two (playing roulette): n2Round to Two Decimal Places

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Description: The mean age of a random sample 25 people who were playing the slot machines is 48.7 years, and the population standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 years with a population sta

That is, there is no evidence to conclude that the mean age of those playing the slot machines is…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

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The mean age of a random sample 25 people who were playing the slot machines is 48.7 years, and the population standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 years with a population standard deviation of 3.2 years. Can it be concluded at a=0.05 that the mean age of those playing the slot machines is less than those playing roulette?

g) Find the value of our test value?
sample mean one (playing slot machines): 81
sample mean two (playing roulette): 82
Difference of means: p, - Pz
(Assume Ho true until we have evidence that goes against it.)
Population
standard deviation one (playing slot machines): 01
Population
standard deviation two (playing roulette): [02
sample size one (playing slot machines): n
sample size two (playing roulette): n2
Round to Two Decimal Places

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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